3628338263 has 16 divisors (see below), whose sum is σ = 4012398720. Its totient is φ = 3253586400.

The previous prime is 3628338209. The next prime is 3628338283.

3628338263 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3628338263 - 2¹⁸ = 3628076119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628338283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265508 + ... + 278838.

It is an arithmetic number, because the mean of its divisors is an integer number (250774920).

Almost surely, 2^3628338263 is an apocalyptic number.

3628338263 is a deficient number, since it is larger than the sum of its proper divisors (384060457).

3628338263 is a wasteful number, since it uses less digits than its factorization.

3628338263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13678.

The product of its digits is 746496, while the sum is 44.

The square root of 3628338263 is about 60235.6892796953. The cubic root of 3628338263 is about 1536.6298176650.

The spelling of 3628338263 in words is "three billion, six hundred twenty-eight million, three hundred thirty-eight thousand, two hundred sixty-three".